0=.18x^2-2.3x+41.4

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Solution for 0=.18x^2-2.3x+41.4 equation: 


Simplifying
0 = 0.18x2 + -2.3x + 41.4

Reorder the terms:
0 = 41.4 + -2.3x + 0.18x2

Solving
0 = 41.4 + -2.3x + 0.18x2

Solving for variable 'x'.

Combine like terms: 0 + -41.4 = -41.4
-41.4 + 2.3x + -0.18x2 = 41.4 + -2.3x + 0.18x2 + -41.4 + 2.3x + -0.18x2

Reorder the terms:
-41.4 + 2.3x + -0.18x2 = 41.4 + -41.4 + -2.3x + 2.3x + 0.18x2 + -0.18x2

Combine like terms: 41.4 + -41.4 = 0.0
-41.4 + 2.3x + -0.18x2 = 0.0 + -2.3x + 2.3x + 0.18x2 + -0.18x2
-41.4 + 2.3x + -0.18x2 = -2.3x + 2.3x + 0.18x2 + -0.18x2

Combine like terms: -2.3x + 2.3x = 0.0
-41.4 + 2.3x + -0.18x2 = 0.0 + 0.18x2 + -0.18x2
-41.4 + 2.3x + -0.18x2 = 0.18x2 + -0.18x2

Combine like terms: 0.18x2 + -0.18x2 = 0.00
-41.4 + 2.3x + -0.18x2 = 0.00

Begin completing the square.  Divide all terms by
-0.18 the coefficient of the squared term: 

Divide each side by '-0.18'.
230 + -12.77777778x + x2 = 0

Move the constant term to the right:

Add '-230' to each side of the equation.
230 + -12.77777778x + -230 + x2 = 0 + -230

Reorder the terms:
230 + -230 + -12.77777778x + x2 = 0 + -230

Combine like terms: 230 + -230 = 0
0 + -12.77777778x + x2 = 0 + -230
-12.77777778x + x2 = 0 + -230

Combine like terms: 0 + -230 = -230
-12.77777778x + x2 = -230

The x term is -12.77777778x.  Take half its coefficient (-6.38888889).
Square it (40.81790125) and add it to both sides.

Add '40.81790125' to each side of the equation.
-12.77777778x + 40.81790125 + x2 = -230 + 40.81790125

Reorder the terms:
40.81790125 + -12.77777778x + x2 = -230 + 40.81790125

Combine like terms: -230 + 40.81790125 = -189.18209875
40.81790125 + -12.77777778x + x2 = -189.18209875

Factor a perfect square on the left side:
(x + -6.38888889)(x + -6.38888889) = -189.18209875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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